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Finding the Fourth Proportional to 690.48, 1,041.66 and 656.28

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Solution

The fourth proportional to 690.48, 1,041.66 and 656.28 is: 990.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.48 : 1,041.66 = 656.28 : x
  2. Step 2: Convert to fraction form
    690.48/1,041.66 = 656.28/x
  3. Step 3: Cross multiply
    690.48x = 1,041.66 × 656.28
  4. Step 4: Simplify right side
    690.48x = 683,620.62
  5. Step 5: Solve for x
    x = 683,620.62/690.48
  6. Step 6: Final answer
    x = 990.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.